Homogenization of Gravity Currents in Heterogeneous Porous Media

We will overview homogenization methods context of computing effective mixing coefficients in several contexts. First, we examine the homogenized averaging of a passive scalar equation diffusing in the presence of a prescribed, variable coefficient fluid flow. Then we turn to the problem of assessing the effect of heterogeneity upon the motion of a slumping gravity current in porous media. The lecture is planned to motivate the need for good closure schemes, while offering an introduction to homogenization methods.